Evaluate each expression for n = 5. 6n + n2​

Answer:

The solution to the equation is x = 0.38 or -18.38

Step-by-step explanation:

x^2+18x=7 can be properly written as

[tex]x^{2} +18x =7[/tex]

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides

i.e 18/2 = 9

Then add 9² to both sides of the equation

[tex]x^{2} +18x + 9^{2} = 7 + 9^{2}[/tex]

This becomes

[tex](x+9)^{2} = 7 + 81[/tex]

[tex](x+9)^{2} = 88[/tex]

[tex]x+9 = \pm \sqrt{88}[/tex]

[tex]x = -9 \pm\sqrt{88}[/tex]

[tex]x = -9 \pm 9.38[/tex]

∴ [tex]x = -9+9.38 or -9-9.38[/tex]

[tex]x = 0.38 or -18.38[/tex]

Hence, x = 0.38 or -18.38

Answer:

4) x = -3 or 8

Step-by-step explanation:

We factories each algebraic expression

4) x² -5x - 24 = 0

x² - 8x + 3x - 24 = 0

(x² - 8x) + (3x - 24) = 0

x(x - 8) + 3(x - 8) = 0

(x + 3)(x - 8) = 0

x + 3 = 0, x = -3

x - 8 = 0, x = 8

x = -3 or 8

Answer:

The initial value is;

y = 16

Step-by-step explanation:

Here, we want to get the initial value of y

Generally, for an exponential function,

we have the form as;

y = a•b^x

where the initial value is the value we have when x = 0

Looking at the given function, substituting x = 0

We have the function as;

y = 16(0.75)^0

y = 16 * 1

y = 16

So the initial value is 16

Answer:

A profit is made when X>4, or after 4 thousand units.

Step-by-step explanation:

For starters the question states that for a profit to be made P(x) has to be greater than 0, and if you solve P(x) to equal 0 you get 4. Anything after 4 thousand would net the company a profit. You can also graph the equation and the x intercept, or 4 is also answer.

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

Answer:

the answer $1,236

Step-by-step explanation:

Answer:

mean: 8

Step-by-step explanation:

Find the sum of all of the numbers:

3+4+5+7+10+12+15=56

Divide the sum by the quantity of numbers in the set:

56/7=8

Answer:

The mean= 8

Acellus sux

Step-by-step explanation:

Answer:

Let x = the number of minutes of calls

For Plan 1, we know that the monthly charge is 8 + 0.18x

For Plan 2, the monthly charge is 23 + 0.14x

To determine when the cost of the two plans will be equal, we set up the following equation:

8 + 0.18x = 23 + 0.14x

Can you solve for x, Alyssa?

Step-by-step explanation:

Answer:

I select the third option and the last linear equation

The greatest common factor for 30 and 90 would be 30.

30 x 1 = 30 and 30 x 3 = 90

There is no letter j in the second term so rule j out.

The GCF of k^3 and k^2 would be k^2

The answer would be B. 30k^2

Answer: length of rectangle GFKJ = FK = (30 – 8) = 22 feet

width of rectangle GFKJ = GF = 5 feet

area of rectangle GFKJ = length × width

= 22 × 5

= 110 square feet

I wish that helped

Step-by-step explanation:

Answer:

The smallest possible length for the third side would be 36 whatever-the-nineteen-and-the-sixteen-unit.

Step-by-step explanation:

In a triangle, sides a+b>c, b+c>a So, we first add up the two known sides.

Now we know that "c" has to be greater than 35, the closest whole number would be 36. And because the smaller numbers, 19 and 16, are settled, we know just by the fact how just one number is greater than all of the others, using the rule that I listed from the beginning, that this will work.

Answer:

22

Step-by-step explanation:

a²+b²=c²

14²+17²=c²

c²=485

√c²=22.0227

c=22.0227

smallest whole number is 22

Answer: I'm prett sure its c) 60, 90, and 120

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

Answer: (20, 5) or (5, 20)

Explanation: An ordered pair is made up of a set of numbers, one number for each dimension, contained in a set of parenthesis and separated by commas. In this problem, there are two dimension; red beads and blue beads. The ordered pair is comprised of the number of red beads (20) and the number of blue beads (5). Following the format previously described we get the answer (20, 5). You can also write (5, 20) since neither number depends on the other.

Answer:

1. 32 2. 22

Step-by-step explanation:

Count the squares, if there are half a squares it is .5 added to the total.

Answer:

H and I

Step-by-step explanation:

because the sides opposite the angles are congruent. the angles H and I are congruent

Answer:

3

Step-by-step explanation:

Answer:

its b :) then can i help you

Answer:

The midpoint is (10, 4)

Step-by-step explanation:

To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.

2 + 18 = 20

20 / 2 = 10

1 + 7 = 8

8 / 2 = 4

(10, 4)

Hope this helps!

Answer:(10,4)

Step-by-step explanation:

Mp(x,y)=(2+18/2,1+7/2)=(10,4)

Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

Answer:

B and C are both 92 degrees :)

Step-by-step explanation:

180-88 is 92 and C and B are vertical angles so they would both be 92 degrees.

Answer:

second option

Step-by-step explanation:

-4 [tex]\leq[/tex] x [tex]\leq[/tex] 2

-4 [tex]\leq[/tex] y [tex]\leq[/tex] 4

Answer:

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

Answer:

3.14159265359

Step-by-step explanation: